Sources of Flow as Sources of Symmetry: Divergence Patterns of Sinusoidal Vector Fields

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Reference

Judy Holdener and Marie Snipes: Sources of Flow as Sources of Symmetry: Divergence Patterns of Sinusoidal Vector Fields. In: Bridges 2014. Pages 409–412

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Abstract

Here we create two-dimensional black and white symmetry patterns by coloring sources in a sinusoidal vector field in white and sinks in black. We focus on vector fields of the form F(x, y) = sin(ax) cos(by)ˆi + sin(cy) cos(dx)ˆj, where a, b, c, d ∈ N, because of the interesting divergence symmetries such fields produce.

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http://archive.bridgesmathart.org/2014/bridges2014-409.pdf

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